Spatial Entropy of One-Dimensional Cellular Neural Network

This work investigates the global mosaic pattern and spatial entropy for one-dimensional cellular neural network (CNN). A novel method is developed to partition the parameter space into finitely many regions. The CNNs, with parameters in each region, have the same global pattern. An algorithm is also presented to evaluate the spatial entropy.

[1]  Wen-Wei Lin,et al.  Cellular Neural Networks: Local Patterns for General Templates , 2000, Int. J. Bifurc. Chaos.

[2]  Jonq Juang,et al.  Cellular Neural Networks: Mosaic Pattern and Spatial Chaos , 2000, SIAM J. Appl. Math..

[3]  Chih-Wen Shih,et al.  Pattern Formation and Spatial Chaos for Cellular Neural Networks with Asymmetric Templates , 1998 .

[4]  Leon O. Chua,et al.  Stability of a class of nonreciprocal cellular neural networks , 1990 .

[5]  Lin-Bao Yang,et al.  Cellular neural networks: theory , 1988 .

[6]  Patrick Thiran,et al.  An approach to information propagation in cellular neural networks - Part I : Local diffusion , 1998 .

[7]  Leon O. Chua,et al.  Pattern formation properties of autonomous Cellular Neural Networks , 1995 .

[8]  Shui-Nee Chow,et al.  DYNAMICS OF LATTICE DIFFERENTIAL EQUATIONS , 1996 .

[9]  Leon O. Chua,et al.  Characterization and dynamics of pattern formation in cellular neural networks , 1996 .

[10]  Leon O. Chua,et al.  Cellular neural networks: applications , 1988 .

[11]  P. Thiran,et al.  An approach to information propagation in 1-D cellular neural networks. II. Global propagation , 1998 .

[12]  C. Robinson.  Dynamical Systems: Stability, Symbolic Dynamics, and Chaos , 1994 .

[13]  Leon O. Chua,et al.  The CNN paradigm , 1993 .

[14]  Shui-Nee Chow,et al.  Pattern formation and spatial chaos in lattice dynamical systems. II , 1995 .

[15]  Chih-Wen Shih,et al.  Complete Stability for Standard Cellular Neural Networks , 1999 .